Whakaoti i te 4sin(60)-left|-2right|-sqrt{12}+-1^2016

$$4 \sin ( 60 ) - \left| -2 \right| - \sqrt{ 12 } + { -1 }^{ 2016 }$$

Aromātai

$$-1$$

Ngā Upane Otinga

Tīkina te uara \sin(60) mai i te ripanga uara pākoki.

$$4\times \frac{\sqrt{3}}{2}-|-2|-\sqrt{12}+\left(-1\right)^{2016}$$

Whakakorea atu te tauwehe pūnoa nui rawa 2 i roto i te 4 me te 2.

$$2\sqrt{3}-|-2|-\sqrt{12}+\left(-1\right)^{2016}$$

Ko te uara pū o tētahi tau tūturu a ko a ina a\geq 0, ko -a rānei ina a<0. Ko te uara pū o -2 ko 2.

$$2\sqrt{3}-2-\sqrt{12}+\left(-1\right)^{2016}$$

Tauwehea te 12=2^{2}\times 3. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 3} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{3}. Tuhia te pūtakerua o te 2^{2}.

$$2\sqrt{3}-2-2\sqrt{3}+\left(-1\right)^{2016}$$

Pahekotia te 2\sqrt{3} me -2\sqrt{3}, ka 0.

$$-2+\left(-1\right)^{2016}$$

Tātaihia te -1 mā te pū o 2016, kia riro ko 1.

$$-2+1$$

Tāpirihia te -2 ki te 1, ka -1.

$$-1$$